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Finding the Third Proportional to 290,410 and 629,077.50

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Solution

The third proportional to 290,410 and 629,077.50 is: 1,362,688.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,410 : 629,077.50 = 629,077.50 : x
  2. Step 2: Convert to fraction form
    290,410/629,077.50 = 629,077.50/x
  3. Step 3: Cross multiply
    290,410x = 629,077.50 × 629,077.50
  4. Step 4: Simplify right side
    290,410x = 395,738,501,006.25
  5. Step 5: Solve for x
    x = 395,738,501,006.25/290,410
  6. Step 6: Final answer
    x = 1,362,688.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.